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Finding the Third Proportional to 178,745,016.75 and 384,879,987.75

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Solution

The third proportional to 178,745,016.75 and 384,879,987.75 is: 828,736,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,745,016.75 : 384,879,987.75 = 384,879,987.75 : x
  2. Step 2: Convert to fraction form
    178,745,016.75/384,879,987.75 = 384,879,987.75/x
  3. Step 3: Cross multiply
    178,745,016.75x = 384,879,987.75 × 384,879,987.75
  4. Step 4: Simplify right side
    178,745,016.75x = 148,132,604,970,440,160
  5. Step 5: Solve for x
    x = 148,132,604,970,440,160/178,745,016.75
  6. Step 6: Final answer
    x = 828,736,977.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.